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givi [52]
2 years ago
11

Find the measure of the central angle with an arc length equaling 29.21 and a circumference = 40.44

Mathematics
1 answer:
Dima020 [189]2 years ago
5 0

measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Step-by-step explanation:

Arc length = 29.21

Circumference = 40.44

Central angle = ?

The formula used to find central angle is:

s=r\theta

where s = arc length, r= radius and Ф=central angle.

We need to find radius from circumference

c=2\pi r\\r=\frac{c}{2\pi } \\Putting\,\,values:\\r=\frac{40.44}{2*3.14}\\r=6.43

So, radius = 6.34

Now, finding central angle:

s=r\theta\\29.21=6.34\,\,\theta\\\theta=\frac{29.21}{6.34}\\\theta=4.607\,\,radians

So, measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Keywords: Central angle of circle

Learn more about Central angle of circle at:

  • brainly.com/question/8618791
  • brainly.com/question/2115496
  • brainly.com/question/10610299

#learnwithBrainly

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A drawer contains 11 identical red socks and 8 identical black socks. Suppose that you choose 2 socks at random in the dark, wha
DedPeter [7]

Answer:

The probability of getting a pair of red socks is 0.322

Step-by-step explanation:

According to the given data we have that A drawer contains 11 identical red socks and 8 identical black socks, hence, the total number of socks is 19, therefore, in order to calculate the probability of getting a pair of red socks we would have to use the following formula:

probability of getting a pair of red socks=11C2/19C2

probability of getting a pair of red socks=55/171

probability of getting a pair of red socks=0.322

The probability of getting a pair of red socks is 0.322

4 0
3 years ago
Tom planted 1/2 of an 8-ft by 9-ft garden with vegetables. He planted tomatoes in 1/3 of the vegetable garden and corn in the re
ser-zykov [4K]

Answer:

Corn was planted in 24 sq.ft. of the vegetable garden.

Step-by-step explanation:

Length of garden = 9 ft

width of garden = 8 ft

Hence we will first find the total area of garden.

Total area of garden = length × width = 8 \times 9 = 72ft^2

He planted 1/2 of the garden with vegetables.

Hence.

Area of Vegetables garden = \frac{1}{2}\times \textrm{Total Area of Garden} = \frac{1}{2}\times 72 = 36ft^2

He planted tomatoes in 1/3 of the vegetable garden and corn in the rest

Area in which tomatoes was planted = \frac{1}{3}\times \textrm{Area of Vegetables Garden} = \frac{1}{3}\times 36 = 12ft^2

Hence Area in which corn were planted = Area of Vegetables garden - Area in which tomatoes was planted = 36ft^2-12ft^2=24ft^2

Hence Area of vegetable garden in which corn was planted is 24 sq.ft.

7 0
3 years ago
Tina is attempting to factor the expression 10x^2-13-3. In her first step, she rewrites the expression as 10x^2-10x-3x-3. Which
Setler79 [48]

ANSWER

B. The two middle coefficients add to the correct number but do not multiply to the correct number.

EXPLANATION

The given quadratic trinomial that Tina tries to factor is

10 {x}^{2}  - 13x - 3

Comparing to

a{x}^{2}  + bx  + c

we have a=10, b=-13 and c=-3

ac=-3×10=-30

We split the middle term so that their sum is -13.

Tina use

-10,-3

to get

-10x-3x

The sum is -13x alright but the product is not -30.

B is correct.

8 0
3 years ago
Can someone help me asap
stealth61 [152]

Answer:

Option Y is correct.

Step-by-step explanation:

We are given the table representing the relation between new students and returning students for difference classes.

It is required to form the relative frequency table for the given situation.

So, relative frequency table is obtained by dividing the valued by the total number of values in the data set.

<em>Thus, we will get the relative frequency table by dividing the given table values by 500.</em>

Hence, we will get the following table,

                          New Students               Returning Students           Total

10th                         0.01                                   0.34                             0.35

11th                          0.006                                0.324                           0.33

12th                         0.004                                0.316                            0.32

Total                        0.02                                  0.98                                1

Thus, option Y is correct.

4 0
3 years ago
the value of a famous painting is increasing at a rate of 6% per year and has a value of 800000 in the year of 2000. what is the
rjkz [21]
I'm not 100% sure but I think this is how you solve it:
1. 800,000 x 0.06 = 48,000
2. 48,000 x 17 = 816,000
3. 800,000 + 816,000 = 1,616,000
The painting is worth $1,616,000 in 2017.
3 0
3 years ago
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